Existence and Uniqueness of the solution of large deflection of circular plate by the Burger’s method Volume 1 - Issue 3

Doo Sung Lee*

• Department of Mathematics College of Education, Konkuk University, Seoul, Korea

Received: October 28, 2020   Published: January 29, 2021

Corresponding author: Doo-Sung Lee, Department of Mathematics College of Education, Konkuk University Seoul, Korea

DOI: 10.32474/JOMME.2021.01.000115

 

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Abstract

The existence and uniqueness of the solutions to an infinite system of nonlinear equations arising in the dynamic analysis of large deflection of a circular plate are discussed. Under the condition that the rim of the plate is prevented from inplane motions, explicit equation for the coupling parameter is given.

Keywords: Existence; uniqueness; Berger’s method;1991 Mathematics Subject Classification; 46(Functional analyss);73(Mechanics of solids)

Abstract| Introduction| Existence| Case Uniqueness| References|